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Finding the Fourth Proportional to 392,022.92, 541,156.77 and 264,870.74

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Solution

The fourth proportional to 392,022.92, 541,156.77 and 264,870.74 is: 365,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,022.92 : 541,156.77 = 264,870.74 : x
  2. Step 2: Convert to fraction form
    392,022.92/541,156.77 = 264,870.74/x
  3. Step 3: Cross multiply
    392,022.92x = 541,156.77 × 264,870.74
  4. Step 4: Simplify right side
    392,022.92x = 143,336,595,478.80
  5. Step 5: Solve for x
    x = 143,336,595,478.80/392,022.92
  6. Step 6: Final answer
    x = 365,633.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.